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The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature

Published 23 Jun 2014 in astro-ph.CO and gr-qc | (1406.5990v1)

Abstract: We derive the Layzer-Irvine equation for alternative gravitational theories with non-minimal coupling between curvature and matter for an homogeneous and isotropic Universe. As an application, we study the case of Abell 586, a relaxed and spherically symmetric galaxy cluster, assuming some matter density profiles.

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